Abstract
Let }L t{,t ∈ [0, 1], be a path of exact Lagrangian submanifolds in an exact symplectic manifold that is convex at infinity and of dimension ≥6. Under some homotopy conditions, an engulfing problem is solved: the given path }L t{ is conjugate to a path of exact submanifolds inT *Lo. This impliesL t must intersectL o at as many points as known by the generating function theory. Our Engulfing theorem depends deeply on a new flexibility property of symplectic structures which is stated in the first part of this work.
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Laudenbach, F. Engouffrement symplectique et intersections lagrangiennes. Commentarii Mathematici Helvetici 70, 558–614 (1995). https://doi.org/10.1007/BF02566024
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DOI: https://doi.org/10.1007/BF02566024